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The particular integral in plate problems

Published online by Cambridge University Press:  24 October 2008

F. P. Sayer
F. P. Sayer
Affiliation:
Department of Theoretical Mechanics, University of Bristol
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Extract

In the course of this paper series expressions are obtained for the displacement vector so that the stresses take prescribed values on the bounding surfaces z = ±h of the plate. Since no conditions are satisfied on the curved surface that forms the bounding edge of the plate these expressions or particular integrals cannot, in general, be solutions to three-dimensional plate problems. They are, however, complementary to the work of Green in (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 931 - 939
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Green, A. E.The elastic equilibrium of isotropic plates and cylinders. Proc. Roy. Soc. Ser. A, 195 (1949), 533–552.Google Scholar
(2)Sayer, F. P., Ph.D. Thesis London University 1965, 91 et seq.Google Scholar
(3)Tiffen, R. and Burniston, E. E.Note on the basic assumptions of elastic plate theories. Mathematika 9 (1962), 127–132.Google Scholar
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(5)Tiffen, R and Lowe, P. G.An exact theory of plane stress. J. London Math. Soc. 40 (1965), 72–86.CrossRefGoogle Scholar